Abstract
We give the complete analytical description of the null trajectories in the field of a Kerr naked singularity. Two peculiar phenomena are described: the existence of repulsive barbiers in ther < 0 world and the existence of null circular bound orbits which surround the singularity in “shells.” They distribute around the surface atr = m, which is the position of the horizon in the extreme black-hole case; this suggests that a naked singularity “remembers” the position of the last horizon.
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Calvani, M., de Felice, F. Vortical null orbits, repulsive barriers, energy confinement in Kerr metric. Gen Relat Gravit 9, 889–902 (1978). https://doi.org/10.1007/BF00759648
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DOI: https://doi.org/10.1007/BF00759648